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A152789
Football tournament numbers with distinct point totals: number of point series in A064626 in which no two teams have the same total number of points.
2
1, 1, 3, 13, 84, 578, 3931, 26258, 173708, 1143860, 7516179, 49344260
OFFSET
1,3
COMMENTS
Only 2 outcomes exist in which all scores are distinct and prime: a 6-team series, [2,3,5,7,11,13] and an 8-team series, [2,3,5,7,11,13,17,19].
EXAMPLE
For 2 teams, [0,3] is the only possible outcome with no repeated point totals, so a(2) = 1.
For 3 teams, the only outcomes are [0,3,6], [1,2,4] and [1,3,4], so a(3) = 3.
CROSSREFS
Cf. A064626.
Sequence in context: A104032 A130406 A225236 * A192943 A366657 A369550
KEYWORD
hard,more,nonn
AUTHOR
Jon E. Schoenfield, Dec 13 2008
STATUS
approved